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Computational haemodynamics in stenotic internal jugular veins

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Abstract

An association of stenotic internal jugular veins (IJVs) to anomalous cerebral venous hemodynamics and Multiple Sclerosis has been recently hypothesized. In this work, we set up a computational framework to assess the relevance of IJV stenoses through numerical simulation, combining medical imaging, patient-specific data and a mathematical model for venous occlusions. Coupling a three-dimensional description of blood flow in IJVs with a reduced one-dimensional model for major intracranial veins, we are able to model different anatomical configurations, an aspect of importance to understand the impact of IJV stenosis in intracranial venous haemodynamics. We investigate several stenotic configurations in a physiologic patient-specific regime, quantifying the effect of the stenosis in terms of venous pressure increase and wall shear stress patterns. Simulation results are in qualitative agreement with reported pressure anomalies in pathological cases. Moreover, they demonstrate the potential of the proposed multiscale framework for individual-based studies and computer-aided diagnosis.

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Notes

  1. This assumption was also verified a posteriori, computing the value of shear rates from the numerical results of exploratory simulations, which resulted to be always larger than \(1 \, \mathrm{s}^{-1}\), below which non-Newtonian effects becomes important (Formaggia et al. 2001, chapter 6).

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Acknowledgments

This work has been partially funded by CARITRO (Fondazione Cassa di Risparmio di Trento e Rovereto, Italy), project No. 2011.0214. The numerical simulations have been partially carried out with the finite element solver Mistral, developed in cooperation with Dr. J. F. Gerbeau and the research team REO, INRIA Paris-Rocquencourt.

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Authors and Affiliations

  1. WIAS Berlin, Mohrenstrasse 39, Berlin, Germany

    Alfonso Caiazzo

  2. Laboratory of Applied Mathematics, DICAM, University of Trento, Via Mesiano 77, Povo, Italy

    Gino Montecinos, Lucas O. Müller & Eleuterio F. Toro

  3. MR Research Facility, Wayne State University, Detroit, USA

    E. Mark Haacke

Authors
  1. Alfonso Caiazzo
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  2. Gino Montecinos
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  3. Lucas O. Müller
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  4. E. Mark Haacke
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  5. Eleuterio F. Toro
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Correspondence to Gino Montecinos.

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Caiazzo, A., Montecinos, G., Müller, L.O. et al. Computational haemodynamics in stenotic internal jugular veins. J. Math. Biol. 70, 745–772 (2015). https://doi.org/10.1007/s00285-014-0778-7

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  • DOI: https://doi.org/10.1007/s00285-014-0778-7

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